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JSYML
2011
69views more  JSYML 2011»
12 years 7 months ago
Weak systems of determinacy and arithmetical quasi-inductive definitions
We locate winning strategies for various Σ0 3-games in the L-hierarchy in order to prove the following:
Philip D. Welch
JSYML
2011
84views more  JSYML 2011»
12 years 12 months ago
On the non-confluence of cut-elimination
Abstract. Westudy cut-elimination in first-orderclassical logic. Weconstructa sequenceofpolynomiallength proofs having a non-elementary number of different cut-free normal forms....
Matthias Baaz, Stefan Hetzl
JSYML
2011
87views more  JSYML 2011»
12 years 12 months ago
Mad families, splitting families and large continuum
Let κ < λ be regular uncountable cardinals. Using a finite support iteration of ccc posets we obtain the consistency of b = a = κ < s = λ. If µ is a measurable cardinal...
Jörg Brendle, Vera Fischer
JSYML
2011
71views more  JSYML 2011»
12 years 12 months ago
The club principle and the distributivity number
Abstract. We give an affirmative answer to Brendle’s and Hruˇs´ak’s question of whether the club principle together with h > ℵ1 is consistent. We work with a class of ax...
Heike Mildenberger
JSYML
2011
50views more  JSYML 2011»
12 years 7 months ago
Determinacy in strong cardinal models
We give limits defined in terms of abstract pointclasses of the amount of determinacy available in certain canonical inner models involving strong cardinals. We show for example: ...
Philip D. Welch